lim t→1 t4 + 1-2 t t-1

Q: A curve with polar equation 22 r = 5 sin 0+11 cos 0 represents a line. Write this line in the given…

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Q: (2η)! Use the binomial series to find the Maclaurin series for the function. (Use · for 1 · 3 · 5…

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Q: The rate at which a substance grows is given by R'(x) = 110e0.7x, where x is the time (in days).…

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Q: Solve the given linear programming problem using the simplex method. If no optimal solution exists,…

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Q: Find the point on the plane 2x + 7y + 8z-16=0 closest to the point (-2,1,3). The point is ().…

A: To find the point on the plane 2x+7y+8z-16=0 closest to the point -2, 1, 3.

Q: 3 2 Consider the function f(x) = 9x³-7x² + 5x-1. 4 An antiderivative of f(x) is F(x) = Ar+ Br³+…

A: given f(x)=9x3-7x2+5x-1

Q: e area of the region bounded by the graphs of the given equations. -9x, y=x³.x=0, x=3 the…

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Q: Let A be the annulus given by 1 ≤ x² + y² ≤ 4 shown below. Compute [₂√x² + y²dA coordinates. A € x…

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Q: Let f(x)= ex and g(x) = 2x. For all x-values, f(x) > g(x). True False

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Q: If x = 8 cos³0 and y = 8 sin³ 0, find the total length of the curve swept out by the point (x, y) as…

A: the parametric  form of x and y are given as, x=8cos3θ and y=8sin3θ To find: The total length of the…

Q: Explain the difference between an indefinite integral and a definite integral. Choose the best…

A: We have to find what is true about the definite and indefinite integral among the given options.  We…

Q: Calculate the derivative X d 33 £1₁ (54²-1) ¹3 d 5t2 dx dt using Part 2 of the Fundamental Theorem…

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Q: Suppose that the inventory of a certain item t months after the first of the year is given…

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Q: Find the amount of money that will be accumulated in a savings account if $5860 is invested at 10.0%…

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Q: In this problem, we are going to consider the area of a sector and its corresponding arc length.…

A: To find out the angle theta, arc length.

Q: Evaluate the integral. 1 S 8s 3 √ 1 8s-3 ds II ds

A: Recall the formula. ∫undu=un+1n+1+C

Q: Find the producers' surplus if the supply function for pork bellies is given by the following. 7/2…

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Q: Use an Addition or Subtraction Formula to simplify the equation. sin (0) cos(30) + cos(0) sin(30) =…

A: (a) Given: The trigonometric equation is, sinθcos3θ+cosθsin3θ=0

Q: Approximate the area of the shaded region using the Trapezoidal Rule and Simpson's Rule with n = 8.…

A: From the given graph we can compute  the values of x  and corresponding y. Now ,

Q: Determine the derivative of the following function by using the definition of the derivative, x² + 7…

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Q: Evaluate the following indefinite integral. + 6t5 ¹ 5t [1+615 5t -dt = dt (Type an exact answer.)

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Q: Determine the most possible complex zeros of the following function: f(x) = 3 O O No Solution O

A: f(x)=3

Q: The Rational Zero Test states that to find all the possible rational zeros of a polynomial, one must…

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Q: Q3 x² Let f(x) Give a complete study (domain, intercepts, asymptote, critical points, 1 inflection…

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Q: Given that x and y are functions of time, find the indicated rate of change. dy Find when x = 4 and…

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Q: 1. Maple Scented Ambient Candles, Itd., have determined that the average price their large candles…

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Q: Compute the triple integral and (0,0,2). xydV over the solid tetrahedron with vertices (0,0,0),…

A: We need to compute triple integral.

Q: The Rational Zero Test states that to find all the possible rational zeros of a polynomial, one must…

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Q: Use a finite sum to estimate the average value of f on the given interval by partitioning the…

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Q: A stone is thrown straight up from the edge of a roof, 800 feet above the ground, at a speed of 16…

A: Acceleration can be written as  a=dvdt adt=dv -32dt=dv Now, integrate both side where limit of time…

Q: 8. CALCULATOR ALLOWED. Let f be the function given by ƒ(x) = cos²x+cosx as shown in the graph below.…

A: fx=cos2x+cosx

Q: Evaluate the integral S (tan(y/10)) (100+ y²) dy tan ¹(y/10)) (100+ y²) dy 11

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Q: Consider the parametric curve x=t+ 22 y=t- - t² 2 Explain why the curve is concave downward whenever…

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Q: 8 Consider the function f(x)= Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) =

A: given  f(x)=8x3-4x6given  F(1)=0we knwo  ∫xndx=xn+1n+1+c

Q: If $7,000 is invested for 5 years at 8% compounded quarterly, how much interest (in $) will be…

A: To calculate the interest earned on an investment of $7,000 for 5 years at 8% compounded quarterly,…

Q: Evaluate the following limit. Use​ l'Hôpital's Rule when it is convenient and applicable.   limx→13…

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Q: 6.) What interest rate compounded monthly would you need if you invested $15,000 today and needed to…

A: Formula At=p1+rnnt⇒n=compounded period⇒p=initial amount⇒At=Amount at time t ⇒t=time in years⇒r=rate…

Q: Let f(x) = 7ex + 13 for 0 ≤ x ≤ 1. Find LF (P) and Uf (P) (to the nearest thousandth) for f and the…

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Q: A If function f(x) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Evaluate the double integral *9 cos(8) [1³ Sketch the region R. -10 -4 "LS ₁ r dr de -8 -2 -6 f(r,…

A: The given integral is:∫0π∫09 cos(θ) r dr dθ

Q: First find f' and then find f. f"(x) = 3x³ + 3x² – 2x − 3, f'(1) = -3, f(1) = 3. f'(x) = f(x) = ←

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Q: Estimate the area under the graph of f(x) 3 sin x T between 2 = 0 and x = using five approx- 2…

A: f(x)=3sin(x)

Q: Locate and classify all the critical points of the function. (If an answer does not exist, enter…

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Q: Let y sin(5x). If Ax Age=|2 Find the percentage error error = -54.35 0.4 at x = 0, use linear…

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Q: Find dy dx || dy dx x2 2 x2 for y=x | tant d dt 2 dt + (Type ex

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Q: Consider the function f(x) whose second derivative is f"(x) = 2x + 2 sin(x). If f(0) = 3 and f'(0) =…

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Q: the marginal profit (in millions of dollars per year) is given by P′(t) = 2t - te-t Find the total…

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Q: Ravi wants to know the length of a tunnel built through a mountain. To do so, he makes the…

A: In simple words we have given a triangle with two known side and a known angle. sides are 249m and…

Q: Evaluate the integral 1 (x-2) In (x-2) dx = 1 (x-2) In (x-2) dx.

A: To evaluate the integral. ∫1x-2 lnx-2 dx

Q: QUESTION 2 The diagram above consists depicts the finite region bounded by the curve y=xsin² x and…

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